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Finding the Fourth Proportional to 2,677.16, 3,670.42 and 2,627.84

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Solution

The fourth proportional to 2,677.16, 3,670.42 and 2,627.84 is: 3,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.16 : 3,670.42 = 2,627.84 : x
  2. Step 2: Convert to fraction form
    2,677.16/3,670.42 = 2,627.84/x
  3. Step 3: Cross multiply
    2,677.16x = 3,670.42 × 2,627.84
  4. Step 4: Simplify right side
    2,677.16x = 9,645,276.49
  5. Step 5: Solve for x
    x = 9,645,276.49/2,677.16
  6. Step 6: Final answer
    x = 3,602.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.